Pub Date : 2025-11-22DOI: 10.1016/j.euromechflu.2025.204419
Aruna A, Radha S, Swarup Barik
The paper presents a two-dimensional concentration distribution of a solute cloud in a non-Newtonian Casson fluid flowing through a tube with an absorbing wall. A multiscale homogenization method is employed to analyze the dispersion, mean, and transverse concentration distributions in both the plug and shear flow regions, which is developed by the yield-stress-driven flow behavior of the Casson fluid. Although most previous studies have primarily focused on determining the dispersion coefficient and mean concentration distribution for non-Newtonian fluids, our study extends this by deriving analytical expressions for the two-dimensional concentration distribution in Casson fluid flows. Numerical simulations are performed to validate the analytical results. The results show that increasing the radius of the plug reduces the dispersion of the solute as a result of suppressed radial mixing within the uniform velocity region. The mean and transverse concentration distributions are strongly influenced by both the plug flow and wall absorption parameters. Although concentration gradients persist longer in the plug region due to the absence of mixing, shear flow accelerates homogenization in the shear region. Stronger wall absorption further restricts transverse mixing, sustaining cross-sectional nonuniformity in both regions. These insights provide a clearer understanding of nutrient and oxygen transport in capillary flows involving non-Newtonian fluids.
{"title":"Multi-scale analysis of solute dispersion in a Casson fluid flow in a tube with wall absorption","authors":"Aruna A, Radha S, Swarup Barik","doi":"10.1016/j.euromechflu.2025.204419","DOIUrl":"10.1016/j.euromechflu.2025.204419","url":null,"abstract":"<div><div>The paper presents a two-dimensional concentration distribution of a solute cloud in a non-Newtonian Casson fluid flowing through a tube with an absorbing wall. A multiscale homogenization method is employed to analyze the dispersion, mean, and transverse concentration distributions in both the plug and shear flow regions, which is developed by the yield-stress-driven flow behavior of the Casson fluid. Although most previous studies have primarily focused on determining the dispersion coefficient and mean concentration distribution for non-Newtonian fluids, our study extends this by deriving analytical expressions for the two-dimensional concentration distribution in Casson fluid flows. Numerical simulations are performed to validate the analytical results. The results show that increasing the radius of the plug reduces the dispersion of the solute as a result of suppressed radial mixing within the uniform velocity region. The mean and transverse concentration distributions are strongly influenced by both the plug flow and wall absorption parameters. Although concentration gradients persist longer in the plug region due to the absence of mixing, shear flow accelerates homogenization in the shear region. Stronger wall absorption further restricts transverse mixing, sustaining cross-sectional nonuniformity in both regions. These insights provide a clearer understanding of nutrient and oxygen transport in capillary flows involving non-Newtonian fluids.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204419"},"PeriodicalIF":2.5,"publicationDate":"2025-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145615188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Two millimeter-sized particles deposited in a large horizontal soap film are attracted towards each other. Due to the very low friction at the surface of the soap film, the particles can exhibit a complex trajectory, and appear to dance together for about ten seconds before colliding. We give here a short overview of the topic and its perspectives.
{"title":"Dancing marbles in a soap film","authors":"Youna Louyer , Benjamin Dollet , Isabelle Cantat , Anaïs Gauthier","doi":"10.1016/j.euromechflu.2025.204423","DOIUrl":"10.1016/j.euromechflu.2025.204423","url":null,"abstract":"<div><div>Two millimeter-sized particles deposited in a large horizontal soap film are attracted towards each other. Due to the very low friction at the surface of the soap film, the particles can exhibit a complex trajectory, and appear to dance together for about ten seconds before colliding. We give here a short overview of the topic and its perspectives.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204423"},"PeriodicalIF":2.5,"publicationDate":"2025-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145615191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-20DOI: 10.1016/j.euromechflu.2025.204418
Niklas Kühl
This study investigates differential-equation-based formulations for computing wall-distance functions in Computational Fluid Dynamics (CFD). The wall distance directly influences turbulence modeling by controlling near-wall damping functions and blending behavior, and is particularly critical for industrial applications, for example in maritime contexts involving complex ship geometries and flow configurations. Several approaches are compared, including linear and nonlinear p-Poisson, Screened-Poisson, Eikonal, regularized Eikonal/Hamilton–Jacobi, and Laplace methods. Each formulation is discretized and assessed for numerical stability, efficiency, and accuracy against an exact geometric benchmark.
The validated models are applied to hydrodynamic and aerodynamic ship flows. For a model-scale bulk carrier (, ), Reynolds-Averaged Navier–Stokes (RANS) simulations with Shear Stress Transport (SST) turbulence show that different wall-distance formulations alter resistance, trim, and sinkage by less than 0.1%. A temporally constant wall-distance field proves sufficient for accurate propulsion predictions. In contrast, a full-scale feeder ship () analyzed with a hybrid RANS/LES (IDDES) model exhibits greater sensitivity to wall-distance definitions.
Among the tested methods, the convective Eikonal or Hamilton–Jacobi formulations with deferred correction achieve the best compromise between robustness, computational cost, and accuracy, whereas p-Poisson and Screened-Poisson variants are more parameter-sensitive and computationally expensive.
本文研究了计算流体力学(CFD)中基于微分方程的壁距函数计算公式。壁距通过控制近壁阻尼函数和混合行为直接影响湍流建模,对于工业应用尤其重要,例如在涉及复杂船舶几何形状和流动配置的海事环境中。比较了几种方法,包括线性和非线性p-泊松方法、筛选-泊松方法、Eikonal方法、正则化Eikonal/ Hamilton-Jacobi方法和拉普拉斯方法。每个公式是离散和评估的数值稳定性,效率和精度对一个精确的几何基准。验证的模型应用于船舶的水动力和气动流动。对于模型级散货船(ReL=7.2×106, Fn=0.142),具有剪切应力输运(SST)湍流的reynolds - average Navier-Stokes (RANS)模拟表明,不同的壁距配方对阻力、纵倾和沉差的影响小于0.1%。一个时间上恒定的壁距场足以进行精确的推进预测。相比之下,使用混合RANS/LES (IDDES)模型分析的全尺寸支线船(ReL=5.0×108)对壁距定义表现出更大的敏感性。在测试的方法中,延迟校正的对流Eikonal或Hamilton-Jacobi公式在鲁棒性、计算成本和准确性之间取得了最佳折衷,而p-Poisson和Screened-Poisson变体对参数更敏感,计算成本更高。
{"title":"Differential equation based wall distance approaches for maritime engineering flows","authors":"Niklas Kühl","doi":"10.1016/j.euromechflu.2025.204418","DOIUrl":"10.1016/j.euromechflu.2025.204418","url":null,"abstract":"<div><div>This study investigates differential-equation-based formulations for computing wall-distance functions in Computational Fluid Dynamics (CFD). The wall distance directly influences turbulence modeling by controlling near-wall damping functions and blending behavior, and is particularly critical for industrial applications, for example in maritime contexts involving complex ship geometries and flow configurations. Several approaches are compared, including linear and nonlinear <em>p</em>-Poisson, Screened-Poisson, Eikonal, regularized Eikonal/Hamilton–Jacobi, and Laplace methods. Each formulation is discretized and assessed for numerical stability, efficiency, and accuracy against an exact geometric benchmark.</div><div>The validated models are applied to hydrodynamic and aerodynamic ship flows. For a model-scale bulk carrier (<span><math><mrow><mi>R</mi><msub><mrow><mi>e</mi></mrow><mrow><mi>L</mi></mrow></msub><mo>=</mo><mn>7</mn><mo>.</mo><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>6</mn></mrow></msup></mrow></math></span>, <span><math><mrow><mi>F</mi><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>142</mn></mrow></math></span>), Reynolds-Averaged Navier–Stokes (RANS) simulations with Shear Stress Transport (SST) turbulence show that different wall-distance formulations alter resistance, trim, and sinkage by less than 0.1%. A temporally constant wall-distance field proves sufficient for accurate propulsion predictions. In contrast, a full-scale feeder ship (<span><math><mrow><mi>R</mi><msub><mrow><mi>e</mi></mrow><mrow><mi>L</mi></mrow></msub><mo>=</mo><mn>5</mn><mo>.</mo><mn>0</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>8</mn></mrow></msup></mrow></math></span>) analyzed with a hybrid RANS/LES (IDDES) model exhibits greater sensitivity to wall-distance definitions.</div><div>Among the tested methods, the convective Eikonal or Hamilton–Jacobi formulations with deferred correction achieve the best compromise between robustness, computational cost, and accuracy, whereas <em>p</em>-Poisson and Screened-Poisson variants are more parameter-sensitive and computationally expensive.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204418"},"PeriodicalIF":2.5,"publicationDate":"2025-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145569182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-19DOI: 10.1016/j.euromechflu.2025.204420
Lingyun Tian, Xiaoyang Xu
Near-surface underwater explosions in shallow water involve complex interactions among shock waves, free surfaces, and bottom boundaries, which significantly affect shock wave propagation and pressure distribution. These interactions pose challenges for damage assessment of marine and coastal structures. In this study, an improved smoothed particle hydrodynamics (SPH) method is developed to simulate near-surface underwater explosions in shallow water. The improvements include a density-continuity-based discretization, artificial viscosity, variable smoothing length, and a particle shifting technique, which mitigate tensile instability in the thin water layer near the free surface and enhance the accuracy of underwater explosion simulations. First, the proposed SPH method is applied to simulate TNT slab detonation and free-field underwater explosions. The effectiveness of the proposed method is validated by comparing simulation results with theoretical solutions. Then, an SPH model is developed to investigate shock wave evolution under the impact of surface boundary conditions in near-surface underwater explosions. Finally, the method is extended to simulate near-surface underwater explosions in shallow water, investigating the effects of bottom boundary inclination on shock wave reflection and bubble morphology. The results reveal that shallow charge depths enhance surface disturbances, while sloped boundaries induce asymmetric pressure focusing and bubble deformation. Overall, the improved SPH method demonstrates reliable capability in capturing shock wave propagation, reflection, surface disturbance, and bubble expansion in near-surface underwater explosions.
{"title":"An improved SPH method for simulating near-surface underwater explosions in shallow water","authors":"Lingyun Tian, Xiaoyang Xu","doi":"10.1016/j.euromechflu.2025.204420","DOIUrl":"10.1016/j.euromechflu.2025.204420","url":null,"abstract":"<div><div>Near-surface underwater explosions in shallow water involve complex interactions among shock waves, free surfaces, and bottom boundaries, which significantly affect shock wave propagation and pressure distribution. These interactions pose challenges for damage assessment of marine and coastal structures. In this study, an improved smoothed particle hydrodynamics (SPH) method is developed to simulate near-surface underwater explosions in shallow water. The improvements include a density-continuity-based discretization, artificial viscosity, variable smoothing length, and a particle shifting technique, which mitigate tensile instability in the thin water layer near the free surface and enhance the accuracy of underwater explosion simulations. First, the proposed SPH method is applied to simulate TNT slab detonation and free-field underwater explosions. The effectiveness of the proposed method is validated by comparing simulation results with theoretical solutions. Then, an SPH model is developed to investigate shock wave evolution under the impact of surface boundary conditions in near-surface underwater explosions. Finally, the method is extended to simulate near-surface underwater explosions in shallow water, investigating the effects of bottom boundary inclination on shock wave reflection and bubble morphology. The results reveal that shallow charge depths enhance surface disturbances, while sloped boundaries induce asymmetric pressure focusing and bubble deformation. Overall, the improved SPH method demonstrates reliable capability in capturing shock wave propagation, reflection, surface disturbance, and bubble expansion in near-surface underwater explosions.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204420"},"PeriodicalIF":2.5,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145615187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-19DOI: 10.1016/j.euromechflu.2025.204421
Dadi Dimple S.S., B. Sri Padmavati
We consider a translating and rotating spherical slip–stick Janus particle of unit radius in an oscillatory Stokes flow. Janus particles are unique microparticles with surfaces that exhibit two or more different physical properties in different regions owing to different surface roughness in these regions. Here we assume that the sphere’s surface consists of two different regions characterized by different slip parameters in each region. We give a method of solution and elucidate it with different configurations of such regions illustrated by a sphere enveloped by (i) a cap, (ii) a horizontal strip, and (iii) a patch. We study the effect of such a heterogeneous nature of the surface on some physical properties, such as drag and torque experienced by the sphere. We also observe the effect of non-uniform surface roughness on the translational and rotational velocity of the particle.
{"title":"Oscillatory Stokes flow past a slip–stick Janus sphere","authors":"Dadi Dimple S.S., B. Sri Padmavati","doi":"10.1016/j.euromechflu.2025.204421","DOIUrl":"10.1016/j.euromechflu.2025.204421","url":null,"abstract":"<div><div>We consider a translating and rotating spherical slip–stick Janus particle of unit radius in an oscillatory Stokes flow. Janus particles are unique microparticles with surfaces that exhibit two or more different physical properties in different regions owing to different surface roughness in these regions. Here we assume that the sphere’s surface consists of two different regions characterized by different slip parameters in each region. We give a method of solution and elucidate it with different configurations of such regions illustrated by a sphere enveloped by (i) a cap, (ii) a horizontal strip, and (iii) a patch. We study the effect of such a heterogeneous nature of the surface on some physical properties, such as drag and torque experienced by the sphere. We also observe the effect of non-uniform surface roughness on the translational and rotational velocity of the particle.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204421"},"PeriodicalIF":2.5,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145615190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Controlling the flow structure around an airfoil is crucial for increasing lift and reducing drag. Delaying flow separation improves aerodynamic performance, especially in aircraft and wind turbines. In recent years, artificial intelligence and machine learning methods have emerged as fast and cost-effective alternatives to traditional approaches in fluid mechanics. In this study, we aimed to control the flow around the NACA (National Advisory Committee for Aeronautics) 4412 airfoil using vortex generators (VGs) and to develop a machine-learning-based flow simulator that predicts velocity components based on angle of attack, VG yaw angle, and spatial coordinates. Experimental measurements were conducted in an open-surface, closed-loop water channel at a Reynolds number of Re = 1.0 × 10⁴ using a two-dimensional Particle Image Velocimetry (PIV) system. A total of 60,500 data points were collected per velocity component from 20 experimental cases within the range of α = 0°–20° and β = 15°–30°. A Multilayer Perceptron (MLP) model implemented using TensorFlow was trained to predict the ensemble-averaged 〈u〉 and 〈v〉 velocity components. We analyzed the effects of hidden layer neuron count and mini-batch size, achieving the highest accuracy with 41 neurons and a batch size of 4, yielding R² values of 0.978 for 〈u〉 and 0.950 for 〈v〉. The error distributions were symmetric and closely approximated a Gaussian distribution. Experimental results showed that VGs delayed early-stage flow separation at low α but became less effective at higher α. The MLP model successfully reconstructed major flow features, providing a reliable data-driven alternative to CFD-based methods. Future work will extend the model to various airfoils, VG designs, Reynolds numbers, and unsteady flows using time-resolved PIV data.
控制翼型周围的流动结构是增加升力和减少阻力的关键。延迟流动分离可以改善空气动力学性能,特别是在飞机和风力涡轮机中。近年来,人工智能和机器学习方法已经成为流体力学中传统方法的快速和经济的替代品。在这项研究中,我们的目标是使用涡发生器(VG)控制NACA(美国国家航空咨询委员会)4412翼型周围的流动,并开发一个基于机器学习的流动模拟器,该模拟器可以根据迎角、VG偏航角和空间坐标来预测速度分量。实验测量采用二维粒子图像测速(PIV)系统,在雷诺数Re = 1.0 × 10⁴的开表面闭环水道中进行。在α = 0°-20°和β = 15°-30°范围内的20个实验案例中,每个速度分量共收集了60500个数据点。使用TensorFlow实现的多层感知器(MLP)模型被训练来预测集合平均< u >和< v >速度分量。我们分析了隐藏层神经元数量和小批大小的影响,在41个神经元和4个批大小的情况下获得了最高的准确性,< u >和< v >的R²值分别为0.978和0.950。误差分布是对称的,近似于高斯分布。实验结果表明,在低α条件下,VGs延迟了早期的流动分离,而在高α条件下,VGs的作用减弱。MLP模型成功地重建了主要的流体特征,为基于cfd的方法提供了可靠的数据驱动替代方案。未来的工作将扩展模型到各种翼型,VG设计,雷诺数,和非定常流动使用时间分辨PIV数据。
{"title":"Machine learning based flow simulator: Flow around an airfoil with vortex generators","authors":"Muharrem Hilmi Aksoy , Murat Ispir , Mahdi Tabatabaei Malazi , Abdulkerim Okbaz","doi":"10.1016/j.euromechflu.2025.204417","DOIUrl":"10.1016/j.euromechflu.2025.204417","url":null,"abstract":"<div><div>Controlling the flow structure around an airfoil is crucial for increasing lift and reducing drag. Delaying flow separation improves aerodynamic performance, especially in aircraft and wind turbines. In recent years, artificial intelligence and machine learning methods have emerged as fast and cost-effective alternatives to traditional approaches in fluid mechanics. In this study, we aimed to control the flow around the NACA (National Advisory Committee for Aeronautics) 4412 airfoil using vortex generators (VGs) and to develop a machine-learning-based flow simulator that predicts velocity components based on angle of attack, VG yaw angle, and spatial coordinates. Experimental measurements were conducted in an open-surface, closed-loop water channel at a Reynolds number of <em>Re</em> = 1.0 × 10⁴ using a two-dimensional Particle Image Velocimetry (PIV) system. A total of 60,500 data points were collected per velocity component from 20 experimental cases within the range of α = 0°–20° and β = 15°–30°. A Multilayer Perceptron (MLP) model implemented using TensorFlow was trained to predict the ensemble-averaged 〈<em>u</em>〉 and 〈<em>v</em>〉 velocity components. We analyzed the effects of hidden layer neuron count and mini-batch size, achieving the highest accuracy with 41 neurons and a batch size of 4, yielding <em>R</em>² values of 0.978 for 〈<em>u</em>〉 and 0.950 for 〈<em>v</em>〉. The error distributions were symmetric and closely approximated a Gaussian distribution. Experimental results showed that VGs delayed early-stage flow separation at low α but became less effective at higher <em>α</em>. The MLP model successfully reconstructed major flow features, providing a reliable data-driven alternative to CFD-based methods. Future work will extend the model to various airfoils, VG designs, Reynolds numbers, and unsteady flows using time-resolved PIV data.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204417"},"PeriodicalIF":2.5,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145615189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-14DOI: 10.1016/j.euromechflu.2025.204415
Shiferaw Regassa Jufar , Minh Duc Le
The flow and combustion characteristics of coaxial jets with annular blockage have been studied numerically. The model was validated with experimental results from related studies. Based on the observations presented in the study, two dominant flow regimes were identified as the momentum flux ratio varied. These regimes can be classified as either central or annular jet-dominated, based on the nature of the vortical structures and stagnation points in the flow field. The central jet-dominated flow occurs at momentum flux ratios below 0.25, where entrainment in the inner mixing region plays a key role. In contrast, the annular jet-dominated flow, which occurs at momentum flux ratios above 2.5, enhances mixing through the recirculation of streams within the counter-rotating vortex rings. In combustion, low momentum flux ratios result in longer flame lengths due to the absence of stagnation points and counter-rotating vortex rings, which lead to poor mixing performance. At higher momentum flux ratios, the formation of counter-rotating vortex rings and the stagnation points enhance mixing, resulting in shorter flame lengths and improved combustion performance. The novelty of this study lies in defining the characteristic flow regimes based on the Reynolds numbers of the annular and central jets, which helps distinguish the dominant flow modes. For a given Reynolds number of the jets, the prevailing mode can be identified to optimize both mixing and combustion performance.
{"title":"Effect of momentum flux ratio on the flow and combustion behavior of coaxial jets with annular blockage","authors":"Shiferaw Regassa Jufar , Minh Duc Le","doi":"10.1016/j.euromechflu.2025.204415","DOIUrl":"10.1016/j.euromechflu.2025.204415","url":null,"abstract":"<div><div>The flow and combustion characteristics of coaxial jets with annular blockage have been studied numerically. The model was validated with experimental results from related studies. Based on the observations presented in the study, two dominant flow regimes were identified as the momentum flux ratio varied. These regimes can be classified as either central or annular jet-dominated, based on the nature of the vortical structures and stagnation points in the flow field. The central jet-dominated flow occurs at momentum flux ratios below 0.25, where entrainment in the inner mixing region plays a key role. In contrast, the annular jet-dominated flow, which occurs at momentum flux ratios above 2.5, enhances mixing through the recirculation of streams within the counter-rotating vortex rings. In combustion, low momentum flux ratios result in longer flame lengths due to the absence of stagnation points and counter-rotating vortex rings, which lead to poor mixing performance. At higher momentum flux ratios, the formation of counter-rotating vortex rings and the stagnation points enhance mixing, resulting in shorter flame lengths and improved combustion performance. The novelty of this study lies in defining the characteristic flow regimes based on the Reynolds numbers of the annular and central jets, which helps distinguish the dominant flow modes. For a given Reynolds number of the jets, the prevailing mode can be identified to optimize both mixing and combustion performance.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204415"},"PeriodicalIF":2.5,"publicationDate":"2025-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145517387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-12DOI: 10.1016/j.euromechflu.2025.204403
Xi-Hu Wu , Yuan Shen
In geophysical hydrodynamics, baroclinic instability refers to the process in which the perturbations absorb energy from potential energy of the mean flow. In this manuscript, we focus our attention on a nonlinear system modeling the propagation of the wave packet within a quasigeostrophic two-layer model in a baroclinic shear flow. With the aid of the generalized Darboux transformation method, we derive several types of the semi-rational solutions to explore bound states among the localized waves and multi-pole localized waves. On different backgrounds, the wave packet and the wave-induced modification of the basic flow manifest themselves as the bound states among multiple solitons/breathers, the bound states among a single soliton/breather component and the multi-pole solitons/breathers, and the bound states among two sets of the double-pole solitons. Physical dynamics of those bound-state nonlinear waves are discussed. We find that the bound states among the solitons/breathers exhibit periodic attractions or repulsions, while the bound states among the solitons/breathers and multi-pole solitons/breathers exhibit non-periodic interactions. This work may provide theoretical support and explanations for the complex and variable natural mechanisms underlying baroclinic instability.
{"title":"Bound states for a quasigeostrophic two-layer model in a baroclinic shear flow","authors":"Xi-Hu Wu , Yuan Shen","doi":"10.1016/j.euromechflu.2025.204403","DOIUrl":"10.1016/j.euromechflu.2025.204403","url":null,"abstract":"<div><div>In geophysical hydrodynamics, baroclinic instability refers to the process in which the perturbations absorb energy from potential energy of the mean flow. In this manuscript, we focus our attention on a nonlinear system modeling the propagation of the wave packet within a quasigeostrophic two-layer model in a baroclinic shear flow. With the aid of the generalized Darboux transformation method, we derive several types of the semi-rational solutions to explore bound states among the localized waves and multi-pole localized waves. On different backgrounds, the wave packet and the wave-induced modification of the basic flow manifest themselves as the bound states among multiple solitons/breathers, the bound states among a single soliton/breather component and the multi-pole solitons/breathers, and the bound states among two sets of the double-pole solitons. Physical dynamics of those bound-state nonlinear waves are discussed. We find that the bound states among the solitons/breathers exhibit periodic attractions or repulsions, while the bound states among the solitons/breathers and multi-pole solitons/breathers exhibit non-periodic interactions. This work may provide theoretical support and explanations for the complex and variable natural mechanisms underlying baroclinic instability.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204403"},"PeriodicalIF":2.5,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145517715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-12DOI: 10.1016/j.euromechflu.2025.204416
Jie Li, Li Peng, Yu Hao
Precise regulation of ion transport in nanofluidics demonstrates great application prospects in the field of ion separation and pre-enrichment. Compared with unipolar nanochannels, bipolar nanochannels show superior performance in ion transport control and can achieve higher ion enrichment ratio and ion interception efficiency. Beyond these fundamental advantages, such nanofluidics gain additional relevance from the widespread use of non-Newtonian fluids across biomedical and chemical applications. This research explores a novel approach—converting a unipolar nanochannel into a bipolar configuration by integrating a gated structure at its center and utilizing a positively charged surface. The Navier-Stokes equations model fluid dynamics, while the Poisson-Nernst-Planck formulation depicts electric potential and ion concentration profiles. Through numerical simulations, the electrokinetic transport behavior of power-law fluids within the bipolar nanochannel is analyzed. The findings indicate that for the fluid characterized by a power-law index of n = 0.95, a rise in gate surface charge density from 0 to 25 mC/m2 leads to a roughly 25 % boost in ionic current. However, this increase comes at a cost—the ion selectivity coefficient drops sharply by 46 %. Furthermore, at gate densities of 0 and 40 mC/m2, the power-law index rises from 0.95 to 1.05, with the ionic current climbing about 31 % and 4 % accordingly.
{"title":"Electrokinetic ion transport of non-Newtonian fluids in a bipolar nanochannel","authors":"Jie Li, Li Peng, Yu Hao","doi":"10.1016/j.euromechflu.2025.204416","DOIUrl":"10.1016/j.euromechflu.2025.204416","url":null,"abstract":"<div><div>Precise regulation of ion transport in nanofluidics demonstrates great application prospects in the field of ion separation and pre-enrichment. Compared with unipolar nanochannels, bipolar nanochannels show superior performance in ion transport control and can achieve higher ion enrichment ratio and ion interception efficiency. Beyond these fundamental advantages, such nanofluidics gain additional relevance from the widespread use of non-Newtonian fluids across biomedical and chemical applications. This research explores a novel approach—converting a unipolar nanochannel into a bipolar configuration by integrating a gated structure at its center and utilizing a positively charged surface. The Navier-Stokes equations model fluid dynamics, while the Poisson-Nernst-Planck formulation depicts electric potential and ion concentration profiles. Through numerical simulations, the electrokinetic transport behavior of power-law fluids within the bipolar nanochannel is analyzed. The findings indicate that for the fluid characterized by a power-law index of <em>n</em> = 0.95, a rise in gate surface charge density from 0 to 25 mC/m<sup>2</sup> leads to a roughly 25 % boost in ionic current. However, this increase comes at a cost—the ion selectivity coefficient drops sharply by 46 %. Furthermore, at gate densities of 0 and 40 mC/m<sup>2</sup>, the power-law index rises from 0.95 to 1.05, with the ionic current climbing about 31 % and 4 % accordingly.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204416"},"PeriodicalIF":2.5,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145517713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-08DOI: 10.1016/j.euromechflu.2025.204413
Kazuya Kusano
The control of aerodynamic noise is essential in various fields, including mechanical and aerospace engineering applications such as pantographs of high-speed trains and aircraft landing gears. Traditional devices, such as splitter plates, have long been employed to suppress wake flows and the resulting noise; however, the development of novel devices that outperform these classical designs has yet to be achieved. The present study seeked to develop innovative control devices using an aeroacoustic optimization framework that integrates the lattice Boltzmann method (LBM) with the adjoint method to modify the rear surface of a square cylinder. The Reynolds number was set to 150 for a two-dimensional laminar flow, and the Mach number was set to 0.2. The optimization created a ridge shape near the rear edge. Flow and acoustic analyses using the LBM showed that this shape successfully suppressed wake flow oscillations and mitigated the generation of aeolian tones. Additionally, a new passive control technique, namely, the installation of tapered splitter plates near the rear edge of the square cylinder, was proposed by simplifying the optimized shape. The LBM simulations demonstrated that the tapered splitter plates outperformed the conventional straight splitter plates in controlling the wake flow and flow-induced sound of the square cylinder.
{"title":"Development of aeroacoustic control devices for a square cylinder using adjoint lattice Boltzmann method","authors":"Kazuya Kusano","doi":"10.1016/j.euromechflu.2025.204413","DOIUrl":"10.1016/j.euromechflu.2025.204413","url":null,"abstract":"<div><div>The control of aerodynamic noise is essential in various fields, including mechanical and aerospace engineering applications such as pantographs of high-speed trains and aircraft landing gears. Traditional devices, such as splitter plates, have long been employed to suppress wake flows and the resulting noise; however, the development of novel devices that outperform these classical designs has yet to be achieved. The present study seeked to develop innovative control devices using an aeroacoustic optimization framework that integrates the lattice Boltzmann method (LBM) with the adjoint method to modify the rear surface of a square cylinder. The Reynolds number was set to 150 for a two-dimensional laminar flow, and the Mach number was set to 0.2. The optimization created a ridge shape near the rear edge. Flow and acoustic analyses using the LBM showed that this shape successfully suppressed wake flow oscillations and mitigated the generation of aeolian tones. Additionally, a new passive control technique, namely, the installation of tapered splitter plates near the rear edge of the square cylinder, was proposed by simplifying the optimized shape. The LBM simulations demonstrated that the tapered splitter plates outperformed the conventional straight splitter plates in controlling the wake flow and flow-induced sound of the square cylinder.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"116 ","pages":"Article 204413"},"PeriodicalIF":2.5,"publicationDate":"2025-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145517712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}